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Function Algebras on Finite Sets
Basic Course on Many-valued Logic and Clone Theory
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Functions, which are defined on finite sets, occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied. This book gives a broad introduction to the theory of function algebras and leads to the cutting edge of research. To familiarize the reader from the very beginning on with the algebraic side of function algebras the more general concepts of the Universal Algebra is given in the first part of the book. The second part on function algebras covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, clone theory. This book is an indispensable source on function algebras for graduate students and researchers in mathematical logic and theoretical computer science.
Subject categories
- Academic > Mathematics > Functional analysis > Banach algebras
- Academic > Mathematics > General > Mathematics
- Academic > Mathematics > General > Logic, Symbolic and mathematical
- Academic > Mathematics > General > Nonclassical mathematical logic
- Academic > Mathematics > General > Many-valued logic
- Academic > Mathematics > General > Mathematics, Medieval
- Academic > Mathematics > Instruments and machines
- Academic > Mathematics > Analysis
- Academic > Mathematics > Analytic mechanics
- Academic > Logic > Nonclassical mathematical logic
- Academic > Logic > Many-valued logic
- Academic > Computer Science
- Mathematics > Algebra
- Mathematics > Logic
ISBNs
9783540360230
9783540360223
3540360239